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Finding the Third Proportional to 61.88 and 147.94

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Solution

The third proportional to 61.88 and 147.94 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.88 : 147.94 = 147.94 : x
  2. Step 2: Convert to fraction form
    61.88/147.94 = 147.94/x
  3. Step 3: Cross multiply
    61.88x = 147.94 × 147.94
  4. Step 4: Simplify right side
    61.88x = 21,885.50
  5. Step 5: Solve for x
    x = 21,885.50/61.88
  6. Step 6: Final answer
    x = 353.71

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.